Where do all the supercurvature modes go?

Details Where do all the supercurvature modes go? Where do all the supercurvature modes go?

1998-03-21

arxiv.org/abs/gr-qc/9803073v2

Phys.Rev. D58 (1998) 083515

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 3 .eps figures included, uses prd,aps, epsfig style files final version to appear in Phys Rev D, expanded concluding

Scientific paper

10.1103/PhysRevD.58.083515

In the hyperbolic slicing of de Sitter space appropriate for open universe models, a curvature scale is present and supercurvature fluctuations are possible. In some cases, the expansion of a scalar field in the Bunch-Davies vacuum includes supercurvature modes, as shown by Sasaki, Tanaka and Yamamoto. We express the normalizable vacuum supercurvature modes for a massless scalar field in terms of the basis modes for the spatially-flat slicing of de Sitter space.

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